Number systems worksheet with answers

Free printable Number systems worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________   Date: ____________

1.Easy
place valuesC256816A1

Convert the hexadecimal number 0xC8A to decimal. Find N.

0xC8AA = 10 … F = 15
N =
2.Easy
place values112816413201618140201

Convert the binary number 1110 1100₂ to decimal. Find N.

1110 1100₂
N =
3.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −65 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −658 bit
U =
4.Medium
8-bit two's complement0−12806403201608040201

Set the bits so they store −120 in 8-bit two's complement. Read as an unsigned number, what is the pattern's value U?

N = −1208 bit
U =
5.Hard
4867 codes, b = ? bits?2ᵇ⁻¹…?4?2?1

A system must give every one of 4867 items its own binary code of the same length. What is the smallest number of bits b needed?

4867
b = bit
6.Hard
8 bit1 px800 px600 pxM = ? KiB

An uncompressed image is 800 × 600 pixels with 8 bits per pixel. How much memory M does it take, in KiB (1 KiB = 1024 bytes)?

800 × 600 px8 bit/px1 KiB = 1024 B
M = KiB

Answer key

  1. 1. N = 3210
  2. 2. N = 236
  3. 3. U = 191
  4. 4. U = 136
  5. 5. b = 13 bit
  6. 6. M = 468.8 KiB

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